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208999101696 = 2837113534211
BaseRepresentation
bin1100001010100101010…
…0010011010100000000
3201222110111200102021020
43002221110103110000
511411012232223241
6240002440025440
721046123024050
oct3025124232400
9658414612236
10208999101696
11806aa5a9530
1234609462280
1316929846618
14a189341560
155683524b66
hex30a9513500

208999101696 has 144 divisors (see below), whose sum is σ = 693497215488. Its totient is φ = 54285465600.

The previous prime is 208999101683. The next prime is 208999101697. The reversal of 208999101696 is 696101999802.

208999101696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208999101697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707970 + ... + 1826241.

Almost surely, 2208999101696 is an apocalyptic number.

It is an amenable number.

208999101696 is an abundant number, since it is smaller than the sum of its proper divisors (484498113792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208999101696 is a wasteful number, since it uses less digits than its factorization.

208999101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534248 (or 3534234 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 60.

The spelling of 208999101696 in words is "two hundred eight billion, nine hundred ninety-nine million, one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 59136 3534211 7068422 10602633 14136844 21205266 24739477 28273688 38876321 42410532 49478954 56547376 74218431 77752642 84821064 98957908 113094752 116628963 148436862 155505284 169642128 197915816 226189504 233257926 272134247 296873724 311010568 339284256 395831632 452379008 466515852 544268494 593747448 622021136 678568512 791663264 816402741 904758016 933031704 1088536988 1187494896 1244042272 1357137024 1583326528 1632805482 1866063408 2177073976 2374989792 2488084544 2714274048 3166653056 3265610964 3732126816 4354147952 4749979584 4976169088 6333306112 6531221928 7464253632 8708295904 9499959168 9952338176 13062443856 14928507264 17416591808 18999918336 26124887712 29857014528 34833183616 52249775424 69666367232 104499550848 208999101696